On the Rod Heating Problem by Sources on the Class of Zonal Controls Using the Current and Past State at Measurement Points

Authors

DOI:

https://doi.org/10.31713/MCIT.2023.002

Keywords:

optimal control, differential equations, optimization

Abstract

We study an optimal feedback control problem for the rod heating process by means of lumped sources. The control actions are the powers of the sources, the values of which are defined on the class of zonal controls. The values of the parameters of zonal control actions are determined by subsets of the state space, to which belong the values of the process state at the measurement points at the current and past time moments. The posed problem is reduced to a parametric optimal control problem on determining a finite-dimensional vector of values of the parameters of zonal control actions. We have obtained optimality conditions for the values of the parameters of zonal control actions. These conditions contain formulas for the gradient of the objective functional with respect to the optimizable parameters. They make it possible to solve the reduced problem numerically with the application of efficient first-order optimization methods.

Author Biographies

Samir Guliyev, Azerbaijan State Oil and Industry University, Institute of Control Systems

Doctor of Mathematical Sciences, Associate Professor, leading researcher at the laboratory of recognition, identification and methods of optimal solutions

Kamil Aida-Zade, Institute of Control Systems

Doctor of Mathematical Sciences, Professor, head of the laboratory of recognition, identification and methods of optimal solutions

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Published

2023-11-22

How to Cite

Guliyev, S., & Aida-Zade, K. (2023). On the Rod Heating Problem by Sources on the Class of Zonal Controls Using the Current and Past State at Measurement Points. Modeling, Control and Information Technologies, (6), 15–18. https://doi.org/10.31713/MCIT.2023.002

Issue

No. 6 (2023): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

Copyright (c) 2023 Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference

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